Rational approximations to Tasoev continued fractions.
Komatsu, Takao (2004)
Mathematica Pannonica
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Displaying similar documents to “On the Ramanujan AGM fraction. II: The complex-parameter case.”
Rational approximations to Tasoev continued fractions.
On generalization of continued fraction of Gauss.
Denis, Remy Y. (1990)
International Journal of Mathematics and Mathematical Sciences
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A Wirsing-type approach to some continued fraction expansion.
Sebe, Gabriela Ileana (2005)
International Journal of Mathematics and Mathematical Sciences
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On a theorem of Legendre in the theory of continued fractions
Dominique Barbolosi, Hendrik Jager (1994)
Journal de théorie des nombres de Bordeaux
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Hurwitz continued fractions with confluent hypergeometric functions
Takao Komatsu (2007)
Czechoslovak Mathematical Journal
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Many new types of Hurwitz continued fractions have been studied by the author. In this paper we show that all of these closed forms can be expressed by using confluent hypergeometric functions . In the application we study some new Hurwitz continued fractions whose closed form can be expressed by using confluent hypergeometric functions.
New properties for the Ramanujan-Göllnitz-Gordon continued fraction
Boonrod Yuttanan (2012)
Acta Arithmetica
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Computation of -partial fractions.
Munagi, Augustine O. (2007)
Integers
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A proof of the continued fraction expansion of .
Komatsu, Takao (2007)
Integers
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Continued fraction expansions for complex numbers-a general approach
S. G. Dani (2015)
Acta Arithmetica
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We introduce a general framework for studying continued fraction expansions for complex numbers, and establish some results on the convergence of the corresponding sequence of convergents. For continued fraction expansions with partial quotients in a discrete subring of ℂ an analogue of the classical Lagrange theorem, characterising quadratic surds as numbers with eventually periodic continued fraction expansions, is proved. Monotonicity and exponential growth are established for the...
On the Khintchine constant for centred continued fraction expansions.
Bourdon, Jérémie (2007)
Applied Mathematics E-Notes [electronic only]
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Simple Continued Fractions and Their Convergents
Bo Li, Yan Zhang, Artur Korniłowicz (2006)
Formalized Mathematics
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The article introduces simple continued fractions. They are defined as an infinite sequence of integers. The characterization of rational numbers in terms of simple continued fractions is shown. We also give definitions of convergents of continued fractions, and several important properties of simple continued fractions and their convergents.